Integral of $$$\frac{_1}{x}$$$ with respect to $$$e$$$

The calculator will find the integral/antiderivative of $$$\frac{_1}{x}$$$ with respect to $$$e$$$, with steps shown.

Related calculator: Definite and Improper Integral Calculator

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Your Input

Find $$$\int \frac{_1}{x}\, de$$$.

Solution

Apply the constant rule $$$\int c\, de = c e$$$ with $$$c=\frac{_1}{x}$$$:

$${\color{red}{\int{\frac{_1}{x} d e}}} = {\color{red}{\frac{_1 e}{x}}}$$

Therefore,

$$\int{\frac{_1}{x} d e} = \frac{_1 e}{x}$$

Add the constant of integration:

$$\int{\frac{_1}{x} d e} = \frac{_1 e}{x}+C$$

Answer

$$$\int \frac{_1}{x}\, de = \frac{_1 e}{x} + C$$$A


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